**Class X Math**

MCQ for Surface Areas and Volumes

**1.** If a solid, cone of base radius ‘r’ and height ‘h’ is placed over a solid cylinder having same base radius ‘r’ and height – ‘h’ as that of the cone, then the curved surface area of the shape is

Is it true?

(a) No

(b) Yes

(c) May be

(d) Cannot be determined

**2.** A cylinder and a cone are of the same base radius and same height. Find the ratio of the volumes of the cylinder of that of the cone.

(a) 1 : 3

(b) 1 : 2

(c) 3 : 1

(d) 2 : 1

**3.** In the figure, the shape of a solid copper piece (made of two pieces) with dimensions as shown. The face ABCDEFA has uniform cross section. Assume that the angles at A, B, C, D, E and F are right angles. Calculate the volume of the piece.

(a) 840 cm

(b) 880 cm^{3}

(c) 876 cm^{3}

(d) 890 cm^{3}

**4.** A toy is in the form of a cone mounted on a hemisphere of common base radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy.

(a) 465

(b) 912

(c) 769

(d) 858

**5.** What is the area of a semi–circle of radius 5 cm?

(a) 78.57 cm

(b) 71.42 cm

(c) 63.18 cm

(d) 79.86 cm